Evaluation of Effectiveness of PFS Method Using 3D Finite ...

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Proceedings of the First International Conference on Press-in Engineering 2018, Kochi - 209 - Evaluation of Effectiveness of PFS Method Using 3D Finite Element Method Keisuke TANAKA Engineer, Kajima Corporation, Tokyo, Japan Makoto KIMIZU Engineer, Takahara Wood, Yatsushiro, Japan Jun OTANI Professor, X-Earth Center, Kumamoto University, Japan Email: [email protected] Teruo NAKAI Professor Emeritus, Nagoya Institute of Technology, Japan ABSTRACT In order to improve the effectiveness of steel sheet-pile method for the countermeasure on soft ground settlement under embankment load, a PFS method was developed under the research group whose chair was Prof. Ochiai of Professor Emeritus at Kyushu University, Japan in 2005. At that moment, a series of in-situ full scale tests for this countermeasure method including PFS method which is the combination of end bearing sheet-pile with those of floating type were conducted in the City of Kumamoto, Japan under the Ministry of Construction (current name of this ministry is Ministry of Land, Infrastructure, Transportation and Tourism). In this paper, the main objective is to discuss the quantitative evaluation of PFS method using coupling finite element analysis. Because of the geometry of PFS structures, this analysis was conducted in three dimensions. A numerical analysis was done for the cases of the full scale tests at the site in Kumamoto City, in which the field tests with the case of PFS method was conducted. A “tij model” developed by Nakai et al which can be considered the effect of intermediate principal stress was used as a constitutive model for clayey soil. Here, not only displacements in the ground but also the change of excess pore water pressure were compared. Finally, based on those numerical studies, an effectiveness of PFS method as a countermeasure method was discussed. Key words: Steel sheet-pile, Soft soils, Countermeasures, Numerical Method, Elastoplastic 1. Introduction Steel sheet-pile has been widely used, especially for earth retaining or excavation. In those cases, the reduction of lateral displacement with its total stability has been expected and the installation of the sheet-pile is relatively easy, so that most of those works have been realized as a temporally ones. However, recently this sheet-pile method is being used as a permanent method for the prevention technique on slope failures, and that for the case of embankment construction, the sheet-pile has been constructed at the toe of embankment due to the purpose of stress shut down to the surrounding ground, so that the reduction of subsidence is expected at the area where the private housings are located. When the embankment is constructed on soft ground, the ground subsidence for not only the ground under the embankment but also the ones around embankment are serious problems and some countermeasures have to be considered. A steel sheet-pile method is one of the countermeasures for this problem as shown in Fig. 1. However, this type of structure has a cost problem when the area and depth of soft ground are wider and deeper,

Transcript of Evaluation of Effectiveness of PFS Method Using 3D Finite ...

Page 1: Evaluation of Effectiveness of PFS Method Using 3D Finite ...

Proceedings of the First International Conference on Press-in Engineering 2018, Kochi

- 209 -

Evaluation of Effectiveness of PFS Method Using 3D Finite Element Method

Keisuke TANAKA

Engineer, Kajima Corporation, Tokyo, Japan

Makoto KIMIZU

Engineer, Takahara Wood, Yatsushiro, Japan

Jun OTANI

Professor, X-Earth Center, Kumamoto University, Japan

Email: [email protected]

Teruo NAKAI

Professor Emeritus, Nagoya Institute of Technology, Japan

ABSTRACT

In order to improve the effectiveness of steel sheet-pile method for the countermeasure on soft ground settlement under

embankment load, a PFS method was developed under the research group whose chair was Prof. Ochiai of Professor

Emeritus at Kyushu University, Japan in 2005. At that moment, a series of in-situ full scale tests for this countermeasure

method including PFS method which is the combination of end bearing sheet-pile with those of floating type were

conducted in the City of Kumamoto, Japan under the Ministry of Construction (current name of this ministry is Ministry

of Land, Infrastructure, Transportation and Tourism).

In this paper, the main objective is to discuss the quantitative evaluation of PFS method using coupling finite element

analysis. Because of the geometry of PFS structures, this analysis was conducted in three dimensions. A numerical

analysis was done for the cases of the full scale tests at the site in Kumamoto City, in which the field tests with the case

of PFS method was conducted. A “tij model” developed by Nakai et al which can be considered the effect of

intermediate principal stress was used as a constitutive model for clayey soil. Here, not only displacements in the

ground but also the change of excess pore water pressure were compared.

Finally, based on those numerical studies, an effectiveness of PFS method as a countermeasure method was discussed.

Key words: Steel sheet-pile, Soft soils, Countermeasures, Numerical Method, Elastoplastic

1. Introduction

Steel sheet-pile has been widely used, especially for

earth retaining or excavation. In those cases, the reduction

of lateral displacement with its total stability has been

expected and the installation of the sheet-pile is relatively

easy, so that most of those works have been realized as a

temporally ones. However, recently this sheet-pile method

is being used as a permanent method for the prevention

technique on slope failures, and that for the case of

embankment construction, the sheet-pile has been

constructed at the toe of embankment due to the purpose

of stress shut down to the surrounding ground, so that the

reduction of subsidence is expected at the area where the

private housings are located. When the embankment is

constructed on soft ground, the ground subsidence for not

only the ground under the embankment but also the ones

around embankment are serious problems and some

countermeasures have to be considered. A steel sheet-pile

method is one of the countermeasures for this problem as

shown in Fig. 1. However, this type of structure has a cost

problem when the area and depth of soft ground are wider

and deeper,

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so that a development of new sheet-pile method was

expected.

In 1975, a collaborative study was started between

Kyushu University and the Ministry of Construction

(Ministry of Land, Infrastructure, Transportation and

Tourism at present) in Japan. Under this collaboration, a

series of in-situ full scale tests were conducted in Kyushu

area. Based on those activities, a research committee for

developing a new sheet-pile method was established in

2003 in which the chair was Prof. Hidetoshi Ochiai,

Professor Emeritus of Kyushu University, Japan. In 2005,

a new sheet-pile method called PFS method (Partial

Floating Sheet-pile) was proposed under the activities of

this committee. In this method, the end bearing sheet-pile

and that of floating type were combined to deal with its

effectiveness and cost as shown in Fig. 2. Fig. 3 shows

the details of this structure (PFS Method, Technical

Manual, 2005).

In this paper, first of all, in-situ measurements at the

site is introduced as a performance of PFS method and

then, a numerical modeling using 3D FEM is conducted

for one of the PFS construction sites. Finally, based on

the results shown in this paper, the effectiveness of PFS

method is convinced and the next step on this PFS

method is briefly discussed.

2. Case history

A large number of in-situ full scale tests for PFS

Fig. 1 Sheet-pile countermeasures

(a) Without countermeasures

Soft ground

(consolidation) Bearing stratum

Embankment

(b) With sheet-pile countermeasures

Sheet pile

Bearing stratum

Embankment

(a) Conventional type (b) Floating type

(c) (a)+(b)

Effectiveness: high

Cost : high

Effectiveness: low

Cost : low

Soft ground (consolidation)

Effectiveness: high

Cost : low

Fig. 2 Idea of PFS method

Floating Sheet pile

Soft ground

End bearing Sheet pile

Fig. 3 PFS method

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method were conducted in Kumamoto City, Japan. This

area is well known as a region of Ariake clay which is

highly sensitive clay and its depth is up to 40m. Fig. 4

shows the soil profile at the site of in-situ test for PFS

method. In this case, one end bearing sheet-pile for five

floating sheet piles were constructed. Fig. 5 shows the

results of measurement for the settlements at the site and

Fig. 6 shows the results of lateral displacement at the toe

of embankment. As easily realized, the effectiveness of

the PFS method is clearly shown. Since a large volume of

sheet-pile materials were reduced, the cost of the PFS

method is obvious and the construction time is also highly

reduced because of the less volume of the sheet-piles.

3. Numerical analysis

3.1. Site condition

A series of numerical modeling were conducted for

one of the site of PFS method. First of all, the

information at the site in Kumamoto City, Japan is shown

in Fig. 7, in which the height of embankment was 4m

with 48 m width and the total length of the sheet-pile for

end bearing was 30m while the floating part was 20m.

The embankment was constructed by step by step

loadings with total of 40 days as shown in Fig. 8. Fig. 9

shows the soil condition, which is the multi-layer of sand

and Ariake clay. In fact, the layers of Ac1, Ac2-U and

Ac2-L were relatively soft clayey soils and the water

level was relative shallow as 0.8m depth. It is obvious

that total depth of the ground (H=25m) is mostly soft soil

with SPT N-value of nearly zero.

3.2. FEM modeling

Based on the results of soil tests at the site and

laboratory for the soils at the site, all the soil parameters

were determined as shown in Table 1, in which the sandy

ground was assumed as an elastic material while tij model

(Nakai, 2013) was used for clayey ground. An

elasto-plastic consolidation analysis was conducted with

Finite Element Method (FEM) and here, because of the

shape of PFS method, three dimensional analysis was

conducted. Fig. 10 shows the 3D mesh with those scaling

for this analysis in which the total number of elements is

4550 for the ground. Sheet-pile was modeled by beam

Embankment Clayey soil Sandy

soil Clayey soil

Clayey soil

Clayey soil Sandy

soil

Floating

Sheet pile

L=19.5m

End bearing

Sheet pile

L=34.5m One end bearing Sheet pile for five Floating

Sheet piles

4.0m

Fig. 4 Ground condition at the site

27.5m

支持層

軟弱層

盛土

48m

30m

20m

2m8m

Fig. 7 PFS method at the site

4.0m

After 4 years

and 1months Set

tlem

ent

(mm

)

Embankment

Fig. 5 Measurement results of subsidence at

the ground surface

0

Fig. 6 Measurement results of lateral displacement at

the toe of embankment

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elements in which joint element was not used for the

interaction behavior. And in the analysis, the step of

embankment during construction was modeled by adding

solid elements with its weight based on the loading

process as shown in Fig. 8. In the analysis, the results such

as total settlement at the center of the embankment with

that of each soil layer and the change of excess pore water

pressure were calculated.

3.3. Results and discussion

Fig. 11 shows the comparison between numerical

results with those of observations at the site for

settlements. Here, total settlement and those of 3

different clayey layers were compared. As easily realized

from those figures, the numerical results can simulate

real behaviors relatively well. Fig. 12 also shows the

same type of comparison for excess pore water pressure

for different soil layers (Ac1, Ac2-U, Ac2-L, and As2).

Although there are some difference between analysis

results and those of measurements, especially just after

the end of embankment, it can be said that over all

behavior seems close enough for both results. Fig. 13

shows the comparison between numerical results with

those observations for the distribution of lateral

displacement at the toe of the embankment after 250 days.

As shown those comparisons, the numerical results can

simulate real behavior to some extent and as a result, 3D

FEM with elasto-plastic constitutive model by tij model

can model the real behavior, fairly well.

4. Concluding remarks

In this paper, the numerical analysis on the PFS

method was compared with the measurement results at

the site and fairy good agreements were obtained.

However, the location of the site of full scale test is

limited, so that the performance of PFS method with

different soil conditions have to be checked. In fact, one

of the important requirement for the use of steel pile is

0

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盛土施工高

(m)

Elapsed time (day)

Em

ban

km

ent

hei

gh

t (m

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Fig. 8 Loading step at the site for FEM

支持層

軟弱層

盛土

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0

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B

Ac1Am1

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Av

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Dc1

B 埋土Ac1 粘性土Am1 粘性土As1 砂Am2 粘性土

As2-U 粘性土Av 砂

Ac2-L 粘性土As2 砂Dc1 粘性土Dg1 砂礫

B 埋土Ac1 粘性土Am1 粘性土As1 砂Am2 粘性土Ac2-U 粘性土Av 砂

Ac2-L 粘性土As2 砂Dc1 粘性土Dg1 砂礫

0.80

3.14.6

8.09.4

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B

Ac1Am1

Dg1

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Av

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Dc1

B 埋土Ac1 粘性土Am1 粘性土As1 砂Am2 粘性土

As2-U 粘性土Av 砂

Ac2-L 粘性土As2 砂Dc1 粘性土Dg1 砂礫

B 埋土Ac1 粘性土Am1 粘性土As1 砂Am2 粘性土Ac2-U 粘性土Av 砂

Ac2-L 粘性土As2 砂Dc1 粘性土Dg1 砂礫

0.80

3.14.6

8.09.4

17.2

23.0

24.4

30.0

深さ(m) N値0 10 20 30

B

Ac1Am1

Dg1

Am2

As1

As2

Ac2-L

Av

Ac2-U

Dc1

B 埋土Ac1 粘性土Am1 粘性土As1 砂Am2 粘性土

As2-U 粘性土Av 砂

Ac2-L 粘性土As2 砂Dc1 粘性土Dg1 砂礫

B 埋土Ac1 粘性土Am1 粘性土As1 砂Am2 粘性土Ac2-U 粘性土Av 砂

Ac2-L 粘性土As2 砂Dc1 粘性土Dg1 砂礫

0.80

3.14.6

8.09.4

17.2

23.0

24.4

30.0

深さ(m) N値0 10 20 300 10 20 30

B

Ac1Am1

Dg1

Am2

As1

As2

Ac2-L

Av

Ac2-U

Dc1

B 埋土Ac1 粘性土Am1 粘性土As1 砂Am2 粘性土

As2-U 粘性土Av 砂

Ac2-L 粘性土As2 砂Dc1 粘性土Dg1 砂礫

B 埋土Ac1 粘性土Am1 粘性土As1 砂Am2 粘性土Ac2-U 粘性土Av 砂

Ac2-L 粘性土As2 砂Dc1 粘性土Dg1 砂礫

0.8 B

Ac1

埋土

粘性土

Am1

As1

Am2

Ac2-U

Av

Ac2-L

As2

Dc1

Dg1

粘性土

粘性土

粘性土

粘性土

粘性土

砂礫

Clay

Clay

Clay

Sand

Clay

Clay

Sand

Clay

Sand

ClayGravel

Depth (m) N-value Fig. 9 Soil profile at the site for FEM

Table 1. Soil parameters for FEM

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図6 盛土中央地盤沈下量比較Fig. 11 Comparison of ground settlements

(d) Ac2-L layer

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図7 盛土中央直下地盤

過剰間隙水圧比較

Fig. 12 Comparison of excess pore water pressures

150m

34m

32m

Fig. 10 3D FEM modeling

Boundary conditions:

Y-Z plane: X-direction fix,

Drain condition

Z-X plane: Y-direction fix

Undrain condition

Bottom plane: X, Y, Z-directions fix

Undrain condition

Z Y

X

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how much the lateral displacement at the toe of

embankment and this allowable value has to be

determined to generalize this PFS method. And one more,

as many of engineers concerned, the behavior during

earthquake is important, especially in Japan. Therefore,

the confirmation of performance under earthquake

should be examined. Those should be the next target for

the PFS method.

5. Acknowledgements

As mentioned in this paper, the development of PFS

method was done under the research group of PFS

method whose chair was Professor Emeritus of Kyushu

University, Hidetoshi Ochiai. The authors would like to

give their sincere gratitude to all the members of this

committee for their enormous efforts to develop this

method.

References

PFS Method Technical Manual. 2005. Technical

Committee of PFS Method, JASPP, Japan. (in

Japanese)

Nakai, T. 2013. Constitutive modeling of geomaterials

-Principals and applications-. CRC Press.

Gro

und

dep

th (

m)

Lateral flow (mm)

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25

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00 20 40 60 80100120

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Observation

Analysis result

Fig. 13 Lateral displacement at the

toe of embankment